Find the maximum volume of a cone that can be
carved out of a solid hemisphere of radius r.
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Answer:
Step-by-step explanation:
,
Let the radius of the hemisphere = r units
Radius of the cone = radius of the hemisphere
height of the cone = radius of the hemisphere
h = r ----( 1 )
Therefore ,
Required
maximum volume of the cone = ( 1/3 ) πr²h
V = ( 1/3 ) × π × r² × r
= ( 1/3 ) × πr³ cubic units
Answered by
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